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Finding the Fourth Proportional to 149,546, 224,331.96 and 38,738

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Solution

The fourth proportional to 149,546, 224,331.96 and 38,738 is: 58,110.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,546 : 224,331.96 = 38,738 : x
  2. Step 2: Convert to fraction form
    149,546/224,331.96 = 38,738/x
  3. Step 3: Cross multiply
    149,546x = 224,331.96 × 38,738
  4. Step 4: Simplify right side
    149,546x = 8,690,171,466.48
  5. Step 5: Solve for x
    x = 8,690,171,466.48/149,546
  6. Step 6: Final answer
    x = 58,110.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.